Test Review :one step word problems and solving equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you represent a word problem as an equation?

Back

Identify the unknown quantity, assign a variable to it, and translate the words into a mathematical expression or equation.

Front

What does the variable represent in an equation?

Back

The variable represents an unknown value that we are trying to find.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the equation for finding the total cost when dividing expenses evenly?

Back

If 'x' is the total cost and 'n' is the number of people, the equation is x/n = cost per person.

Front

If a person pays $p for a shared expense, how do you find the total cost?

Back

The total cost can be found using the equation x = p * n, where 'n' is the number of people.

Front

What is the relationship between addition and subtraction in equations?

Back

Addition and subtraction are inverse operations; adding a number can be undone by subtracting the same number.

Front

What is the relationship between multiplication and division in equations?

Back

Multiplication and division are inverse operations; multiplying by a number can be undone by dividing by the same number.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.